2c+0.5=0.5c+6.5

Solution for 2c+0.5=0.5c+6.5 equation:

Simplifying
2c + 0.5 = 0.5c + 6.5

Reorder the terms:
0.5 + 2c = 0.5c + 6.5

Reorder the terms:
0.5 + 2c = 6.5 + 0.5c

Solving
0.5 + 2c = 6.5 + 0.5c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-0.5c' to each side of the equation.
0.5 + 2c + -0.5c = 6.5 + 0.5c + -0.5c

Combine like terms: 2c + -0.5c = 1.5c
0.5 + 1.5c = 6.5 + 0.5c + -0.5c

Combine like terms: 0.5c + -0.5c = 0.0
0.5 + 1.5c = 6.5 + 0.0
0.5 + 1.5c = 6.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.5c = 6.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.5c = 6.5 + -0.5
1.5c = 6.5 + -0.5

Combine like terms: 6.5 + -0.5 = 6
1.5c = 6

Divide each side by '1.5'.
c = 4

Simplifying
c = 4